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3 years ago

12

Annette is surveying people in the city about their interest in a new shopping mall. She found that 180 people, or 30% of those

surveyed, do not want a new mall. How many people did Annette survey?
(if you answer this may you please show your work)

1 answer:

Vesna [10]3 years ago

4 0

Answer:

306 people were surveyed

Step-by-step explanation:

180 people + 70% = 306 people surveyed

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Consider a system with one component that is subject to failure, and suppose that we have 115 copies of the component. Suppose f

castortr0y [4]

Answer:

Step-by-step explanation:

From the given information:

the mean $(\mu) = 115 \times 20$

= 2300

Standard deviation = $20 \times \sqrt{115}$

Standard deviation (SD) = 214.4761

TO find:

a) $P(x > 3500)= P(Z > \dfrac{3500-\mu}{214.4761})$

$P(x > 3500)= P(Z > \dfrac{3500-2300}{214.4761})$

$P(x > 3500)= P(Z > \dfrac{1200}{214.4761})$

$P(x > 3500)= P(Z >5.595)$

From the Z-table, since 5.595 is > 3.999

$P(x > 3500)=1-0.9999$

P(x > 3500) = 0.0001

b)

Here, the replacement time for the mean $(\mu) = \dfrac{0+0.5}{2}$

= 0.25

Replacement time for the Standard deviation $\sigma = \dfrac{0.5-0}{\sqrt{12}}$

$\sigma = 0.1443$

For 115 component, the mean time = (115 × 20)+(114×0.25)

= 2300 + 28.5

= 2328.5

Standard deviation = $\sqrt{(115\times 20^2) +(114\times (0.1443)^2)}$

= $\sqrt{(115\times 400) +(114\times 0.02082249}$

= $\sqrt{(46000) +2.37376386}$

= $\sqrt{(46000) +(2.37376386)}$

= $\sqrt{46002.374}$

= 214.482

Now; the required probability:

$P(x > 4125) = P(Z > \dfrac{4125- 2328.5}{214.482})$

$P(x > 4125) = P(Z > \dfrac{1796.5}{214.482})$

$P(x > 4125) = P(Z >8.376)$

$P(x > 4125) =1- P(Z$

From the Z-table, since 8.376 is > 3.999

P(x > 4125) = 1 - 0.9999

P(x > 4125) = 0.0001

7 0

2 years ago

How do I solve this????

Arlecino [84]

Let's say the numbers are "a" and "b"
hmm say "a" is the smaller, and "b" the greater

so "b" is "4 more than 5 times" "a"

so... 5 times "a" is 5*a or 5a
4 more than "that", will be "that" + 4
or
5a + 4

so.. whatever "a" is, "b" is 5a+4

now, their sum is 22, as opposed to "zz" hehe

so $\bf \begin{cases}
a+b=22\\
--------------\\
\boxed{b}=5a+4\qquad thus\\
--------------\\
a+\boxed{5a+4}=22
\end{cases}$

solve for "a", to see what the smaller one is

what's "b"? well, b = 5a + 4

3 0

3 years ago

What is the slope of this line?<br><br> - 2/3<br><br> 2/3<br><br> 1/3<br><br> - 1/3

Paul [167]

Answer:

2/3

Step-by-step explanation:

slope =(y1-y2)/(x1-x2)

slope=(1-(-1))/(6-3)

slope =2/3

7 0

3 years ago

Abigail has $356 in her bank account. She earns simple interest on her money at a rate of 3% per year for a total of five years.

ch4aika [34]

Answer:

A. 409.4

Step-by-step explanation:

3%=10.68

10.68*5=53.4

53.4+356=409.4

3 0

3 years ago

M−4=2m what's the value of m

romanna [79]

Answer:

m=-4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers